8261904384 has 144 divisors (see below), whose sum is σ = 24113112660. Its totient is φ = 2724986880.

The previous prime is 8261904377. The next prime is 8261904403. The reversal of 8261904384 is 4834091628.

It is a happy number.

8261904384 is a `hidden beast` number, since 8 + 26 + 190 + 438 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8195318784 + 66585600 = 90528^2 + 8160^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1785594 + ... + 1790214.

Almost surely, 2^8261904384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8261904384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12056556330).

8261904384 is an abundant number, since it is smaller than the sum of its proper divisors (15851208276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8261904384 is a wasteful number, since it uses less digits than its factorization.

8261904384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746 (or 4723 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8261904384 is about 90895.0184773621. The cubic root of 8261904384 is about 2021.5914315658.

The spelling of 8261904384 in words is "eight billion, two hundred sixty-one million, nine hundred four thousand, three hundred eighty-four".